Acceleration
The left-hand circle in Figure 2 is the orbit showing the velocity vectors at two adjacent times. On the right, these two velocities are moved so their tails coincide. Because speed is constant, the velocity vectors on the right sweep out a circle as time advances. For a swept angle dθ = ω dt the change in v is a vector at right angles to v and of magnitude v dθ, which in turn means that the magnitude of the acceleration is given by
|
|v|
r |
1 m/s 3.6 km/h 2.2 mph |
2 m/s 7.2 km/h 4.5 mph |
5 m/s 18 km/h 11 mph |
10 m/s 36 km/h 22 mph |
20 m/s 72 km/h 45 mph |
50 m/s 180 km/h 110 mph |
100 m/s 360 km/h 220 mph |
|
|---|---|---|---|---|---|---|---|---|
| Slow walk | Bicycle | City car | Aerobatics | |||||
| 10 cm 3.9 in |
Laboratory centrifuge |
10 m/s² 1.0 g |
40 m/s² 4.1 g |
250 m/s² 25 g |
1.0 km/s² 100 g |
4.0 km/s² 410 g |
25 km/s² 2500 g |
100 km/s² 10000 g |
| 20 cm 7.9 in |
5.0 m/s² 0.51 g |
20 m/s² 2.0 g |
130 m/s² 13 g |
500 m/s² 51 g |
2.0 km/s² 200 g |
13 km/s² 1300 g |
50 km/s² 5100 g |
|
| 50 cm 1.6 ft |
2.0 m/s² 0.20 g |
8.0 m/s² 0.82 g |
50 m/s² 5.1 g |
200 m/s² 20 g |
800 m/s² 82 g |
5.0 km/s² 510 g |
20 km/s² 2000 g |
|
| 1 m 3.3 ft |
Playground carousel |
1.0 m/s² 0.10 g |
4.0 m/s² 0.41 g |
25 m/s² 2.5 g |
100 m/s² 10 g |
400 m/s² 41 g |
2.5 km/s² 250 g |
10 km/s² 1000 g |
| 2 m 6.6 ft |
500 mm/s² 0.051 g |
2.0 m/s² 0.20 g |
13 m/s² 1.3 g |
50 m/s² 5.1 g |
200 m/s² 20 g |
1.3 km/s² 130 g |
5.0 km/s² 510 g |
|
| 5 m 16 ft |
200 mm/s² 0.020 g |
800 mm/s² 0.082 g |
5.0 m/s² 0.51 g |
20 m/s² 2.0 g |
80 m/s² 8.2 g |
500 m/s² 51 g |
2.0 km/s² 200 g |
|
| 10 m 33 ft |
Roller-coaster vertical loop |
100 mm/s² 0.010 g |
400 mm/s² 0.041 g |
2.5 m/s² 0.25 g |
10 m/s² 1.0 g |
40 m/s² 4.1 g |
250 m/s² 25 g |
1.0 km/s² 100 g |
| 20 m 66 ft |
50 mm/s² 0.0051 g |
200 mm/s² 0.020 g |
1.3 m/s² 0.13 g |
5.0 m/s² 0.51 g |
20 m/s² 2 g |
130 m/s² 13 g |
500 m/s² 51 g |
|
| 50 m 160 ft |
20 mm/s² 0.0020 g |
80 mm/s² 0.0082 g |
500 mm/s² 0.051 g |
2.0 m/s² 0.20 g |
8.0 m/s² 0.82 g |
50 m/s² 5.1 g |
200 m/s² 20 g |
|
| 100 m 330 ft |
Freeway on-ramp |
10 mm/s² 0.0010 g |
40 mm/s² 0.0041 g |
250 mm/s² 0.025 g |
1.0 m/s² 0.10 g |
4.0 m/s² 0.41 g |
25 m/s² 2.5 g |
100 m/s² 10 g |
| 200 m 660 ft |
5.0 mm/s² 0.00051 g |
20 mm/s² 0.0020 g |
130 m/s² 0.013 g |
500 mm/s² 0.051 g |
2.0 m/s² 0.20 g |
13 m/s² 1.3 g |
50 m/s² 5.1 g |
|
| 500 m 1600 ft |
2.0 mm/s² 0.00020 g |
8.0 mm/s² 0.00082 g |
50 mm/s² 0.0051 g |
200 mm/s² 0.020 g |
800 mm/s² 0.082 g |
5.0 m/s² 0.51 g |
20 m/s² 2.0 g |
|
| 1 km 3300 ft |
High-speed railway |
1.0 mm/s² 0.00010 g |
4.0 mm/s² 0.00041 g |
25 mm/s² 0.0025 g |
100 mm/s² 0.010 g |
400 mm/s² 0.041 g |
2.5 m/s² 0.25 g |
10 m/s² 1.0 g |
Read more about this topic: Circular Motion